SOLUTION: Calculate the number of sides of a regular polygon if an interior angle is five times the side of an exterior angle.

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Question 666800: Calculate the number of sides of a regular polygon if an interior angle is five times the side of an exterior angle.
Answer by solver91311(24713) About Me  (Show Source):
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The measure of an interior angle of a regular -gon is given by:



The measure of an exterior angle of a regular polygon is given by



Given the stated 5 to 1 ratio,



Equal fractions with equal denominators must have equal numerators:



Solve for Hint: Divide through by 180 before you do anything else.

John

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